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Finding the Third Proportional to 427,589.25 and 929,602.88

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Solution

The third proportional to 427,589.25 and 929,602.88 is: 2,021,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,589.25 : 929,602.88 = 929,602.88 : x
  2. Step 2: Convert to fraction form
    427,589.25/929,602.88 = 929,602.88/x
  3. Step 3: Cross multiply
    427,589.25x = 929,602.88 × 929,602.88
  4. Step 4: Simplify right side
    427,589.25x = 864,161,505,208.27
  5. Step 5: Solve for x
    x = 864,161,505,208.27/427,589.25
  6. Step 6: Final answer
    x = 2,021,008.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.